Results 1 to 2 of 2

Math Help - Integral problem

  1. #1
    Newbie
    Joined
    Jun 2008
    Posts
    14

    Integral problem

    The velocity v at time t of an object travelling in a straight line is given by v = t - 3. Determine the distance it travels from t = 0 and t = 4.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by wren17 View Post
    The velocity v at time t of an object travelling in a straight line is given by v = t - 3. Determine the distance it travels from t = 0 and t = 4.
    \frac{dx}{dt} = t - 3 \Rightarrow x = \frac{t^2}{2} - 3t + C.

    Assume x(0) = 0: x = \frac{t^2}{2} - 3t.

    Note: The answer is NOT x(4) - x(0). Why?

    Distance travelled = \frac{9}{2} + \left( \frac{9}{2} - 4\right) = .....

    Draw a graph of x versus t to see this.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. integral problem
    Posted in the Calculus Forum
    Replies: 6
    Last Post: December 12th 2011, 09:51 PM
  2. Integral problem involving the definition of the integral
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: May 23rd 2011, 07:06 AM
  3. Integral Problem Help
    Posted in the Calculus Forum
    Replies: 4
    Last Post: February 21st 2010, 07:35 AM
  4. Integral Problem
    Posted in the Calculus Forum
    Replies: 6
    Last Post: September 25th 2009, 06:11 AM
  5. integral problem...
    Posted in the Calculus Forum
    Replies: 16
    Last Post: April 24th 2009, 08:58 AM

Search Tags


/mathhelpforum @mathhelpforum